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rusak2 [61]
3 years ago
13

What number best completes both equations? 5/7÷1/3=? ?×1/3=5/7

Mathematics
1 answer:
Nat2105 [25]3 years ago
6 0

Consider the given equations:

The first equation is as:

\frac{5}{7} \div \frac{1}{3} = ?

So, \frac{5}{7} \div \frac{1}{3}

= \frac{5}{7} \times \frac{3}{1}

Multiplying the given fractions, we get as

= \frac{15}{7}

Now, consider the second equation as:

? \times \frac{1}{3} = \frac{5}{7}

Multiplying by '3' to both the sides of the equation, we get

? \times \frac{1}{3} \times 3 = 3 \times \frac{5}{7}

? = \frac{15}{7}

So, the number which best completes both the equations is \frac{15}{7}.

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Jacob transformed quadrilateral FGHJ to F'G'H'J'.
Rudik [331]

Answer:

A. Reflection across the line x = 1

Step-by-step explanation:  

Please find the attachment.

We have been given that Jacob transformed quadrilateral FGHJ to F'G'H'J'.  We are asked to find which transformation Jacob used to reflect FGHJ to F'G'H'J'.

Since we know that while reflecting a figure, the line of reflection will lie between the original figure and reflected figure. Each point of the reflected figure will have the same distance from the line of reflection as the corresponding point of the original figure.              

Now let us see our given choices one by one.

A. Reflection across the line x = 1.

Upon looking at point G and G' we can see that both points are equidistant (2 units) from the line x=1. Other corresponding points of both quadrilaterals are also equidistant from line x=1, therefore, Jacob used the reflection across the line x=1 to transform quadrilateral FGHJ to F'G'H'J'.

B. Reflection across the line y = 1 .      

If Jacob had reflected quadrilateral across line y=1, the points of quadrilateral F'G'H'J' will lie in second and third quadrant. We can see from our graph that F'G'H'J' lies in 1st quadrant, therefore, option B is not a correct choice.

C. Reflection across the line y-axis.

If Jacob had reflected quadrilateral across y-axis, the coordinates of points of quadrilateral F'G'H'J' will be G'(1,4), H'(1,2), J'(4,0) and F'(2,5). Therefore, option B is not a correct choice.

D.  Reflection across the x -axis.

If Jacob had reflected quadrilateral across x-axis, the points of quadrilateral F'G'H'J' will lie in third quadrant. We can see from our graph that F'G'H'J' lies in 1st quadrant, therefore, option D is not a correct choice.

3 0
2 years ago
If Ac={vt2/r) and vt=2 and r=2 find Ac<br>a. 4<br><br>b. 2<br><br>C. 1<br><br>D. 8​
ankoles [38]

given: Ac=\frac{vt2}r \quad vt=2 \quad r=2

$\therefore Ac=\frac{(2)2}{2}=2$

5 0
2 years ago
12 POINTS<br>Simplify i38. <br> i <br> −1 <br> −i <br> 1
Karolina [17]
Are you sure you've copied down the original problem exactly as given?  i38 = 38i can't be simplified.  Perhaps you meant i^38, which is a different matter.

Note that i^38 = i^32 * I^4 * I^2.

Note that i^0, i^4, i^8, etc., all equal 1.  Therefore,

i^38 = (1)(1)i^2 = 1*(-1) = -1 (answer)
3 0
3 years ago
Read 2 more answers
Figures with the same size and shape are
cestrela7 [59]
<span> Congruent </span><span>figures. Hope that helped. </span>
6 0
2 years ago
How many is 192 fl oz. = how many pints
NemiM [27]
There are 16 fluid ounces in a pint, so we have 192/16=12 pints.
6 0
3 years ago
Read 2 more answers
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